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Finding the Fourth Proportional to 80,100.76, 120,138.48 and 26,792.32

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Solution

The fourth proportional to 80,100.76, 120,138.48 and 26,792.32 is: 40,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,100.76 : 120,138.48 = 26,792.32 : x
  2. Step 2: Convert to fraction form
    80,100.76/120,138.48 = 26,792.32/x
  3. Step 3: Cross multiply
    80,100.76x = 120,138.48 × 26,792.32
  4. Step 4: Simplify right side
    80,100.76x = 3,218,788,600.47
  5. Step 5: Solve for x
    x = 3,218,788,600.47/80,100.76
  6. Step 6: Final answer
    x = 40,184.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.